A method of analysis is proposed for a semi-infinite solid with a surface or embedded plane crack of arbitrary shape. The analysis is fundamentally based on the body force method, but proper expressions for the body force densities are introduced and the stress boundary conditions of the crack surface are replaced by the resultant force conditions in order to improve the accuracy and validity of the method. Numerical results for typical crack problems, based on coarse meshes, are shown to be in remarkable agreement with known solutions. Moreover, new numerical results are obtained in many problems, which are difficult to solve by other methods when considering these crack shapes and complex loading conditions.
All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering